GCF of 5004/281, 2962/6315
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5004/281, 2962/6315 i.e 2/1774515 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5004/281, 2962/6315.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 5004/281,2962/6315?
Given fractions are 5004/281,2962/6315
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 5004/281,2962/6315, numerators are 5004,2962
Denominators are 281,6315
The GCF of 5004,2962 is 2 .
LCM of 281,6315 is 1774515.
The greatest common factor of 5004/281,2962/6315 = [GCF of 5004,2962]/[LCM of 281,6315]= 2/1774515
Therefore, the GCF of 5004/281,2962/6315 is 2/1774515.
To find the highest common factor of 5004,2962, we have to find the factors of both numbers and list the highest common factor.
The factors of 5004 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 139, 278, 417, 556, 834, 1251, 1668, 2502, 5004
The factors of 2962 are 1, 2, 1481, 2962
The HCF of 5004,2962 is 2.
Lets's calculate GCF of 5004,2962
| 2 | 5004, 2962 |
| 2502, 1481 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 5004,2962 By Matching Biggest Common Factor Method
Now, list down the factors of 5004
:1,2,3,4,6,9,12,18,36,139,278,417,556,834,1251,1668,2502,5004
Now, list down the factors of 2962
:1,2,1481,2962
Greatest Common Factor
We found the factors 5004,2962 . The biggest common factor number is the GCF number.
So the greatest common factor 5004,2962 is 2.
Lets's calculate LCM of 281,6315
Given numbers has no common factors except 1. So, there LCM is their product i.e 1774515
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1774515
Therefore, the GCF of Fractions 5004/281,2962/6315 is 2/1774515
Least Common Multiple of 281,6315 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 281,6315 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(281,6315) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(281,6315) x common factors =1 x 1 = 1
LCM(281,6315) = ( 281 × 6315 ) / 1
LCM(281,6315) = 1774515 / 1
LCM(281,6315) = 1774515
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FAQs on GCF of Fractions of 5004/281, 2962/6315
1. What is the HCF of 5004,2962?
The HCF of 5004,2962 is 2
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 5004/281, 2962/6315?
Answer: GCF of Numerators as per given numbers 5004/281, 2962/6315 is
GCF of Numerators i.e. for 5004,2962 is 2
LCM of denominators i.e. for 281,6315 is 1774515.
Thus, GCF of Fractions is 2/1774515.Finally, GCF of Fractions for 5004/281, 2962/6315 is 2/1774515.